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Finding the Fourth Proportional to 11,382.97, 15,699.60 and 7,405.36

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Solution

The fourth proportional to 11,382.97, 15,699.60 and 7,405.36 is: 10,213.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,382.97 : 15,699.60 = 7,405.36 : x
  2. Step 2: Convert to fraction form
    11,382.97/15,699.60 = 7,405.36/x
  3. Step 3: Cross multiply
    11,382.97x = 15,699.60 × 7,405.36
  4. Step 4: Simplify right side
    11,382.97x = 116,261,189.86
  5. Step 5: Solve for x
    x = 116,261,189.86/11,382.97
  6. Step 6: Final answer
    x = 10,213.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.